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Liquidity provider

How resting orders supply liquidity, why a limit order can also take it, and why a completed profitable round trip does not remove inventory or adverse-selection risk.

A liquidity provider makes trading interest available for someone else to execute against. In an order book, this commonly means leaving a buying or selling order resting at a specified price. The provider offers immediacy to the trader who arrives later, while accepting uncertainty about whether the order will fill and what the acquired position will be worth.
This is a trading role, broader than a formal market-maker designation. A market-making firm can repeatedly quote both sides; an investor's resting order can also supply liquidity. The SEC's study of customer limit orders describes how investor orders add liquidity and compete with dealers' quotes. Here the focus is on order-book and dealer markets.

The role belongs to the execution

A resting buy at the bid supplies buying interest: an arriving seller can trade against it. A resting sale at the ask supplies selling interest to an arriving buyer. The trader who executes against that available interest takes liquidity.
The word “limit” does not settle which role an order plays. A limit order sets the worst acceptable execution price. If its price is already compatible with an existing opposite-side order, it can execute immediately and take liquidity. An order may also execute partly on arrival and leave a remainder resting. Classify the executions, rather than assuming that every limit order adds liquidity or that a firm always trades on the same side of this distinction.

A profitable round trip requires two fills

Consider a fictional stock, quoted in USD per share. A trader starts with no shares, leaves a passive bid for 100 shares at USD 99, and is filled in full. Later, the trader leaves a passive offer for those 100 shares at USD 101, which is also filled in full. Both executions are stipulated; no waiting time or fill probability is assumed.
Completed transactionCash change, USDShares held afterwards
Buy 100 at 99−9,900100
Sell 100 at 101+10,1000
Closed round trip+2000

The gross trading gain is

100(101−99)=200 USD.100(101-99)=200\ \text{USD}.
This is before fees, rebates, funding and hedging costs. It is a cash result for the specified completed round trip. Displaying a bid-ask spread of two dollars does not establish that a trader can repeatedly complete this sequence.
Synthetic passive buy of 100 shares at USD 99 costs USD 9,900; a later passive sale at USD 101 receives USD 10,100, giving USD 200 gross with no shares remaining. Both fills are stipulated. A separate path with no sale and a USD 97 mark has a USD 200 unrealised loss.
Synthetic passive buy of 100 shares at USD 99 costs USD 9,900; a later passive sale at USD 101 receives USD 10,100, giving USD 200 gross with no shares remaining. Both fills are stipulated. A separate path with no sale and a USD 97 mark has a USD 200 unrealised loss.
Original synthetic ledger. The adverse path is a separate alternative, not an extra event after the profitable sale. Prices are USD per share; cash and marked profit are USD, before trading and holding costs.

What happens between the fills matters

After the purchase, the provider owns stock. If the hoped-for sale does not occur and a chosen valuation mark falls to USD 97, the same 100 shares have an unrealised loss of USD 200 relative to their purchase cost:
100(97−99)=−200 USD.100(97-99)=-200\ \text{USD}.
That mark is a valuation reference, not proof that all the shares can be sold at 97. Inventory risk is the exposure from carrying the position while its value changes. The provider may adjust quotes, hedge or sell aggressively to reduce that exposure, incurring further costs.
Adverse selection adds a selection problem: an order can be especially likely to fill when its price has become unattractive to its owner. Sellers may hit an old bid as negative information arrives; buyers may lift an old offer before the provider revises it upward. The SEC's execution-quality discussion explains why limit-order fills and subsequent adverse price moves can be related. A loss after one fill alone does not identify an informed counterparty.

A passive execution therefore earns a price concession only against a specified benchmark. Evaluating the strategy also requires unfilled orders, subsequent marks at declared horizons, actual exits and all charges. A rebate, where a venue offers one, is one cash-flow component; its existence does not determine profitability.

The SelfMadeQuant lesson Order Flow and Adverse Selection develops the conditional-on-fill calculation. Spread Measurement separates the initial price concession from later midpoint movement. Both offer public previews; full lessons require membership.

Sources

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  • market microstructure
  • liquidity
  • passive orders
  • inventory risk
  • execution
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